What is the value of cos(pi/3)cos(pi/6)-sin(pi/3)sin(pi/6) ?

The value of cos(pi/3)cos(pi/6)-sin(pi/3)sin(pi/6) is 0

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

cos(pi/3)cos(pi/6)-sin(pi/3)sin(pi/6)

cos (\frac{π}{3}) cos (\frac{π}{6}) - sin (\frac{π}{3}) sin (\frac{π}{6})

0

Solution steps

cos (\frac{π}{3}) cos (\frac{π}{6}) - sin (\frac{π}{3}) sin (\frac{π}{6})

Use the following trivial identity:

cos (\frac{π}{3}) = \frac{1}{2}

Use the following trivial identity:

cos (\frac{π}{6}) = \frac{3}{2}

Use the following trivial identity:

sin (\frac{π}{3}) = \frac{3}{2}

Use the following trivial identity:

sin (\frac{π}{6}) = \frac{1}{2}

= \frac{1}{2} \cdot \frac{3}{2} - \frac{3}{2} \cdot \frac{1}{2}

Simplify

= 0

sin (\frac{π}{3} - arcsin (- \frac{1}{2}))

sec (4 5^{\circ}) csc (4 5^{\circ})

2 \cdot cos (12 0^{\circ})

cos (6 0^{\circ}) + sin (3 0^{\circ})

- 2 e^{0} sin (0)

What is the value of cos(pi/3)cos(pi/6)-sin(pi/3)sin(pi/6) ?
The value of cos(pi/3)cos(pi/6)-sin(pi/3)sin(pi/6) is 0